The next day Rae left a small note in the arcade’s suggestion box: “For whoever needs this.” She couldn’t tell Finch where to find it, and she wouldn’t try. The joy, she thought, belonged to whoever found it next, someone who needed a tight, shining world to carry through a rainy commute or a cold night. The last cartridge was less about possession and more about passing the light.

While standard versions are large, specialized "Lite" or "Highly Compressed" mods of major games sometimes appear in community lists: PPSSPP Tutorial | Video Game Emulation for Newbies

The short answer is: Yes, but with specific titles and methods.